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Finding the Third Proportional to 181,508 and 394,507

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Solution

The third proportional to 181,508 and 394,507 is: 857,459.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,508 : 394,507 = 394,507 : x
  2. Step 2: Convert to fraction form
    181,508/394,507 = 394,507/x
  3. Step 3: Cross multiply
    181,508x = 394,507 × 394,507
  4. Step 4: Simplify right side
    181,508x = 155,635,773,049
  5. Step 5: Solve for x
    x = 155,635,773,049/181,508
  6. Step 6: Final answer
    x = 857,459.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.